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Several Methods of Factoring
A polynomial is factored completely when
it is expressed as the product of a monomial and one or more prime polynomials . 
Guidelines for Factoring
Completely 1) Factor out the greatest monomial factor first. 2) Look for a difference of squares . 3) Look for a perfect square trinomial . 4) If a trinomial is not a square , look for a pair of binomial factors. 5) If a polynomial has four or more terms , look for a way to group the terms in pairs. 6) Make sure that you check that each binomial or trinomial factor is a prime. 7) Check your work by multiplying the factors . 
Factored Completely  Guidelines for Factoring Completely 
Guidelines for Factoring
Completely Flow Chart Style Factor out the greatest monomial factor 
Example 1: Factor
completely:

Factoring Flow Chart  Example 1 
Example 2: Factor completely:

Example 3: Factor completely:

Example 2  Example 3 
Example 4: Factor completely:

Homework: page 228 Oral Exercises (712 all) page 228 Written Exercises (718 all) ** Answers will be on the web. 
Example 4  Homework 
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